Introduction to Numerical Methods
Spring 2012
Thursdays, 9:00 ~ 12:00 PM
Instructor: Prof. Berlin Chen (陳柏琳 教授)Tentative List of Topics:
|
02/23 |
|
||
|
03/01 |
|
Mathematical Modeling, Numerical Methods, and Problem Solving |
|
| 03/08 | Programming with MATLAB | ||
| 03/15 | Roundoff and Truncation Errors | Homework 1: 4.10, 4.13, 4.16 (Due 04/12) | |
| 03/22 |
Roots: Bracketing Methods
Roots: Open Methods |
Homework 2: 5.4, 5.14, 6.4 (Due 04/12) | |
| 03/29 | Exercise (Chapters 1-6) | ||
| 04/05 | Spring Break | ||
| 04/12 |
Optimization Linear Algebraic Equations and Matrices |
||
| 04/19 |
Gauss
Elimination LU Factorization |
||
| 04/26 | Midterm | ||
| 05/03 |
Matrix Inverse and Condition Iterative Methods |
Homework 3: 9.7, 10.3, 11.13, 12.8 (Due 05/10) | |
| 05/10 |
Eigenvalues Discussion on Homework 1 & 2 and Midterm |
||
| 05/17 |
Linear
Regression Generalized Linear Least-squares and nonlinear regression |
||
| 05/24 |
Polynomial Interpolation Splines and Piecewise Interpolation |
||
| 05/31 | Quiz | ||
| 06/07 |
Numerical Integration Formulas Numerical Integration of Functions |
||
| 06/14 | Final |
Textbooks:
1. Steven C. Chapra, Applied Numerical Methods with MATLAB for Engineers and Scientists, McGraw-Hill, 20122. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers, McGraw-Hill, 2010